Finding the Third Proportional to 37,696.50 and 58,338

Step by Step Solution

1. Step 1: Write the proportion equation
   37,696.50 : 58,338 = 58,338 : x
2. Step 2: Convert to fraction form
   37,696.50/58,338 = 58,338/x
3. Step 3: Cross multiply
   37,696.50x = 58,338 × 58,338
4. Step 4: Simplify right side
   37,696.50x = 3,403,322,244
5. Step 5: Solve for x
   x = 3,403,322,244/37,696.50
6. Step 6: Final answer
   x = 90,282.18